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Finding the Fourth Proportional to 11,657.13, 16,076.93 and 7,879.29

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Solution

The fourth proportional to 11,657.13, 16,076.93 and 7,879.29 is: 10,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.13 : 16,076.93 = 7,879.29 : x
  2. Step 2: Convert to fraction form
    11,657.13/16,076.93 = 7,879.29/x
  3. Step 3: Cross multiply
    11,657.13x = 16,076.93 × 7,879.29
  4. Step 4: Simplify right side
    11,657.13x = 126,674,754.38
  5. Step 5: Solve for x
    x = 126,674,754.38/11,657.13
  6. Step 6: Final answer
    x = 10,866.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.